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A point represents an infinitesimally small area in space. In the case of a line graph, and assuming the point is on the line, it represents the exact value of the linear function of x, f(x) or y, at any given value of x. The important thing to remember is that when you actually draw a dot on a graph representing a point, you're really representing an object with no dimensions.
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What does the graph of a linear equation represent?
A straight line.
What does a curved line represent on a time vs distance graph?
The curved line on a time vs. distance graph represents that the object is accelerating.
What does the graph of a line represent?
It represents all solutions to the linear equation.
In position vs. time graph what variable does slope represent?
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
Does the graph of x equals -3 represent a vertical graph?
Yes, x = -3 would represent a vertical line at abscissa -3, parallel to the y-axis.
